11322000 has 240 divisors, whose sum is σ = 43001712. Its totient is φ = 2764800.

The previous prime is 11321993. The next prime is 11322001. The reversal of 11322000 is 22311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 589824 + 10732176 = 768^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305982 + ... + 306018.

Almost surely, 2^11322000 is an apocalyptic number.

11322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500856).

11322000 is an abundant number, since it is smaller than the sum of its proper divisors (31679712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11322000 is a wasteful number, since it uses less digits than its factorization.

11322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11322000 is about 3364.8179742744. The cubic root of 11322000 is about 224.5472376761.

Adding to 11322000 its reverse (22311), we get a palindrome (11344311).

The spelling of 11322000 in words is "eleven million, three hundred twenty-two thousand".